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Verizon [17]
2 years ago
10

100 POINTS!! Express in radical form.

Mathematics
2 answers:
djverab [1.8K]2 years ago
8 0

Answer:

\large\boxed{27\sqrt[4]{x^3}}

Step-by-step explanation:

\sqrt[n]{a^m}=a^\frac{m}{n}\\\\(ab)^n=a^nb^n\\\\\sqrt[n]{a^n}=a\\\\\sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\--------------------\\\\(81x)^\frac{3}{4}=\sqrt[4]{(81x)^3}=\sqrt[4]{81^3x^3}=\sqrt[4]{81^3}\cdot\sqrt[4]{x^3}=\sqrt[4]{(3^4)^3}\cdot\sqrt[4]{x^3}\\\\=\sqrt[4]{(3^3)^4}\cdot\sqrt[4]{x^3}=3^3\sqrt[4]{x^3}=27\sqrt[4]{x^3}

Vilka [71]2 years ago
3 0

Answer:

27   4th root (x^3)

Step-by-step explanation:

(81x) ^ 3/4

We know (ab) ^c = a^c b^c

81 ^ (3/4)  * x^3/4

We can rewrite 81 as 3^4

(3^4)^(3/4)  * x^3/4

We know that a^b^c = a^ (b*c)

3^(4*3/4)  * x^3/4

3^(3) * x^3/4

27  * x^3/4

27   4th root (x^3)

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Evaluate the following integral or state that it diverges. <br><br> *integral 0 to 1 (ln x)do
dolphi86 [110]

Answer:

-1

Step-by-step explanation:

so firstly we solve by integrating by parts.

lnX × X - the integral of x/x

so the integral is Xln(X) - X

so the value should converge at -1

6 0
2 years ago
Which of these is greatest number that rounds to 9?
Sonja [21]
If anything is above 5 it will round up
3 0
3 years ago
Read 2 more answers
5/6+2i<br><br><br>Aka<br><br><br> 5<br><br>___<br><br>6+2y<br>Ignore my answer its probably wrong
liberstina [14]

Answer:

   (3/4) -(1/4)i

Step-by-step explanation:

Your answer is correct.

\dfrac{5}{6+2i}=\dfrac{5(3-i)}{2(3+i)(3-i)}=\dfrac{5(3-i)}{2(9+1)}\\\\=\dfrac{3-i}{4}=\dfrac{3}{4}-\dfrac{1}{4}i

8 0
3 years ago
Question 4 This question has two parts. First, answer Part A. Then, answer Part B. Part A Fill in the blank question. COLLEGE LI
Annette [7]

The equation that models the number of students who live in apartments will be 6n + 15

<h3>How to illustrate the equation?</h3>

Total number of students T = 17n + 23

Students who live in dorm rooms on campus D = 11n + 8.

Therefore, the students who live in apartments will be:

= 17n + 23 - (11n + 8)

= 6n + 15

In order to predict the number of students who will live on campus in 2020, we will need the students that do not share dorm rooms.

Learn more about equations on:

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7 0
1 year ago
The table below shows values for a function.
Evgen [1.6K]

Answer:

d

Step-by-step explanation:

1+1^2=4

2+1=3^2=9

3+1=4^2=16

    ^(times by self)

6 0
2 years ago
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